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Tom has \(\$10\) that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs \(\$3\), and a pencil costs \(\$1\). Which graph represents this scenario? (Here, \(x\) represents the number of pens and \(y\) the number of pencils.)

 

    

SpaceModo  Jan 19, 2018
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 #1
avatar+85633 
+1

Let x  be the number of pens  and let  y be the number of pencils

 

And we have these constraints

 

x ≤ y

 

3x +  1y ≤  10

 

The third graph is correct  [ both lines will be solid because of the  " ≤ "  ]

 

See  here  :  https://www.desmos.com/calculator/pd7tbftmpj

 

 

cool cool cool

CPhill  Jan 19, 2018
 #2
avatar+102 
+1

Hey, thanks! smiley

SpaceModo  Jan 19, 2018

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